1397634722400 has 576 divisors, whose sum is σ = 5617440460800. Its totient is φ = 300664627200.

The previous prime is 1397634722381. The next prime is 1397634722413. The reversal of 1397634722400 is 42274367931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1397634722400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13944465 + ... + 14044335.

It is an arithmetic number, because the mean of its divisors is an integer number (9752500800).

Almost surely, 2^{1397634722400} is an apocalyptic number.

1397634722400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1397634722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808720230400).

1397634722400 is an abundant number, since it is smaller than the sum of its proper divisors (4219805738400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1397634722400 is a wasteful number, since it uses less digits than its factorization.

1397634722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99932 (or 99905 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 1397634722400 in words is "one trillion, three hundred ninety-seven billion, six hundred thirty-four million, seven hundred twenty-two thousand, four hundred".